Coordinate Plane Plot a point in each quadrant Name a given point Reflect a point across the x-axis Reflect a point across the y-axis.

Coordinate Plane

• Plot a point in each quadrant

• Name a given point

• Reflect a point across the x-axis

• Reflect a point across the y-axis

Algebraic Reasoning

• Pedro’s cell phone company charges 35.50 per month for basic service. The charge for text messages is $0.20 per message. What is the total cost this month if he sends 30 text messages?

Proportional Reasoning

• George buys one-half pound of ham for $5.30. What would be the cost, in dollars, of one-fourth pounds of ham at the same store?

Measures of Central Tendency

• A small company had the following number of sales (in thousands) each day last week:

89, 33, 87, 91, 42, 83, 62

• Find the mean, median, mode, interquartile range.

• Which measure would make the company’s sales last week APPEAR the most profitable?

Measures of Central Tendency

• A computer store has 4 different computer models that sell for $300, 400, 500, and 900.

• Find the mean, median, mode, and range.

• If the manager wants to advertise the sales price of the store’s computers, which measure of central tendency will show the public that the store has LOW prices?

Proportional Reasoning

• Beth has completed 200 miles of a 800 mile bicycle race in 4 hours. Write four different proportions that could be used to find H, the number of additional hours it will take her to complete the race traveling at the same rate?

Proportional Reasoning

• A flagpole 24 feet tall cast a shadow 11 feet long. Mason is exactly 6 feet tall. Write a proportion that can be used to determine the length of Mason’s shadow.

Data Representations

• Create a circle graph that represents the data from the table:

Test Grade Percent of students

90-100 24

80-89 50

70-79 16

Less than 70

10

Proportional Reasoning

• A bag of skittles contains 20% red pieces, 55% green pieces, and 25% purple pieces.

• If the bag of candies is known to contain 80 pieces, write a proportion that can be used to find n, the total number of green pieces in the bag.

• Solve the proportion to find the number of green pieces in the bag.

Numerical Operations

• Place the following values in order from LEAST to GREATEST.

3.5, 42, π, 8.2, square root of 15

Number Operations

• List three fractions that are greater than 2/4 but less than 5/8.

Coordinate Plane

• Make a coordinate plane.

• Plot any point you want in quadrant I and label it point Q.

• Plot any point you want in quadrant 3 and label it point P.

• Draw a line connecting the two points

• Now, label any point that lies on line PQ.

Algebraic Reasoning

• Use the following formula to find the math grade for a student who received 80 for her test score, 60 for her first quiz, and 100 for her second quiz:

• 3T + Q1 + Q2

5• T = Test score

• Q1 = first quiz score

• Q2 = second quiz score

Proportional Reasoning

• Sharon invested $3000 in the stock market. During the first year her stocks gained 40% in value.

• How much did her stock increase?

• What were her stocks worth at the end of the first year?

Scientific Notation

• Express 0.008472 in scientific notation.

• Express 756000 in scientific notation.

Numerical Reasoning

• Order the following set of rational numbers in order from least to greatest.

¼, 0.23, 26%, two-tenths

Algebraic Reasoning

• Andy waits tables at a local café. He makes 8.50 per hour, and usually works between 10 and 15 hours a week. What is a reasonable amount Andy makes each week?

Numerical Reasoning

• Does five-sixths fall between ½ and ¾?

Data Representations

• Thomas wants to find out which sport the entire eighth grade class at his school likes best. Which group of students should he NOT survey so that his results are most likely to represent those of the ENTIRE eighth grade class?

Scientific Notation

• Change 5.3 X 10-2 to standard notation

• Change 2.2 x 104 to standard notation

Measurement using Formulas

• Find the volume of a box that is 38 inches long, 10 inches wide, and 4 inches high.

Algebraic Reasoning

• Draw a line graph representing the following table:

• Where does the graph cross the y-axis?

Number of Servings

Calories

2 300

4 600

6 900

8 1,200

Proportional Reasoning

• 25% of students prefer orange slushies.

– How many students prefer orange slushies if there are 200 students total?

– If there are 150 students, how many prefer orange slushies?

Number Reasoning

• List the following rational numbers in order from LEAST to GREATEST.

-0.8, ¾, 0.081, - ½

Measures of Central Tendency

• Kristen made the following test scores in her math class:

98, 90, 97, 93, 92, 98, 91

• If Kristen’s teacher determines her report card grade by finding the mean, what will be her grade?

Coordinate Plane

• Plot and label vertices A(2,1), B(-4,1), and C(2,6).

• What are the coordinates of D, the fourth vertex of square ABCD?

Data Representations

• Luke’s math scores for this grading period are listed below.

84, 86, 83, 78, 92, 87, 92, 90, 88, 86, 82, 90

• Create a line plot

Data Representations

• If you were to create a circle graph with the following table, which subject would be represented by 17.7% of the circle?

Subject Favorite

English 46

Math 40

Science 32

Social Studies 26

Physical Education

16

Spanish 20

TOTAL 180

Measurement using formulas

• What is the perimeter of a rectangle with a length of 8 cm and a width of 4 cm?

• What is the area of a rectangle with a length of 8 cm and a width of 4 cm?

Algebraic Reasoning

• Solve the following equation for g.

2.5g + 8 = 68

Number Reasoning

• What is the approximation of the square root of 23?

• Which integer is closest to the square root of 92.45?

Data Representations

• Which of the following measure of central tendency would you use for data that is not numerical?

• Mean? Median? Mode? Range?

Proportional Reasoning

• Complete the following table:

• What is the value of A?

• What is the value of B?

X Y

4 6

A 18

14 B

Data Representations

• Create your own bar graph that would be misleading to a reader?

Data Representations

• Create a bar graph representing the data from the following table:

Brand Calories

A 72

B 85

C 100

D 80

Algebraic Reasoning

• Find the expression that is used to find the nth term in the following sequence?

TERM VALUE

1 6

2 10

3 14

4 18

n ?

Data Representations

• Draw a Box-and-Whisker plot with the following data:– Minimum = 63– Maximum = 81– 1st quartile = 68– 2nd quartile = 74– 3rd quartile = 78

• What is the median number?• What is the range?• What is the interquartile range?

Algebraic Reasoning

• The equation y= 25x + 52 represents the charge a car repair shop uses to determine y, the cost of labor for x number of hours worked. What would be the charge for labor for …..

• 2 hours of work?

• 3 hours of work?

• 4 hours of work?

Number Reasoning

• If the area of my yard is 384 square feet and length of my yard is 24 feet, what is the width of my yard?

Number Reasoning

• The area of a square is 72 square feet. Which is closest to the length of each side of the square?

A. 9.0

B. 8.5

C. 8.1

D. 7.2

Arithmetic sequence

• Let n represent the position of a number in the following arithmetic sequence.

7, 12, 17, 22, 27….

Find the expression or rule for this sequence.

Algebraic Reasoning

• Create a table that represents a proportional relationship.

X Y

0

1

2

Algebraic Reasoning

• Create a table that does not represents a proportional relationship.

X Y

0

1

2